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Atlas › Integer Profiles › Node 92,467,340

92,467,340

22 × 5 × 7 × 199 × 3319
Abundant Even Composite

92,467,340 factors as 2^2 × 5 × 7 × 199 × 3319. Its 48 positive divisors give a proper-divisor sum of 130,636,660, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 199 × 3319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 223,104,000
Proper Divisor Sum 130,636,660
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #92467339 ← → #92467343

Radix Representation

Decimal 92467340
Binary 101100000101111000010001100 (27 bits)
Octal 0o540570214
Hexadecimal 0x582F08C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1,393 1,990 2,786 3,319 3,980 5,572 6,638 6,965 13,276 13,930 16,595 23,233 27,860 33,190 46,466 66,380 92,932 116,165 232,330 464,660 660,481 1,320,962 2,641,924 3,302,405 4,623,367 6,604,810 9,246,734 13,209,620 18,493,468 23,116,835 46,233,670 92,467,340

Collatz Trajectory (73 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

92,467,340 46,233,670 23,116,835 69,350,506 34,675,253 104,025,760 52,012,880 26,006,440 13,003,220 6,501,610 3,250,805 9,752,416 4,876,208 2,438,104 1,219,052 609,526 304,763 914,290 457,145 1,371,436 685,718 342,859 1,028,578 514,289 1,542,868 771,434 385,717 1,157,152 578,576 289,288 144,644 72,322 36,161 108,484 54,242 27,121 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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